Search a number
-
+
10133444232 = 2332805317477
BaseRepresentation
bin10010111000000000…
…00001011010001000
3222011012212022012100
421130000001122020
5131223130203412
64353310513400
7506054566122
oct113400013210
928135768170
1010133444232
1143300796aa
121b69805860
13c56540862
146c1b7c212
153e496bedc
hex25c001688

10133444232 has 48 divisors (see below), whose sum is σ = 27449723340. Its totient is φ = 3377202048.

The previous prime is 10133444179. The next prime is 10133444239. The reversal of 10133444232 is 23244433101.

It can be written as a sum of positive squares in 2 ways, for example, as 10026817956 + 106626276 = 100134^2 + 10326^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10133444196 and 10133444205.

It is not an unprimeable number, because it can be changed into a prime (10133444239) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 571078 + ... + 588554.

Almost surely, 210133444232 is an apocalyptic number.

10133444232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10133444232 is an abundant number, since it is smaller than the sum of its proper divisors (17316279108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10133444232 is a wasteful number, since it uses less digits than its factorization.

10133444232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25542 (or 25535 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10133444232 its reverse (23244433101), we get a palindrome (33377877333).

The spelling of 10133444232 in words is "ten billion, one hundred thirty-three million, four hundred forty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 8053 16106 17477 24159 32212 34954 48318 52431 64424 69908 72477 96636 104862 139816 144954 157293 193272 209724 289908 314586 419448 579816 629172 1258344 140742281 281484562 422226843 562969124 844453686 1125938248 1266680529 1688907372 2533361058 3377814744 5066722116 10133444232